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2 years ago

7

Use the Zero Product Property to find the x-intercepts (roots) of the following quadratic equations. You MUST show all work for

full credit!
a. `y=(2x+7)(x-13)

1 answer:

olya-2409 [2.1K]2 years ago

3 0

Answer:

x=-7/2, x=13

Step-by-step explanation:

2x+7=0

2x=-7

x=-7/2

x-13=0

x=13

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A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

3 years ago

Something divided by something equals 132

natta225 [31]

11 x 12 =132
i think this is the right answer

8 0

3 years ago

I'm solving systems and I don't understand how to do it pls helpp

kaheart [24]

Answer:

Use the process of elimination. I'll only do one example since you have 4.

Step-by-step explanation:

Let's do the first question.

2x-3y=-11

2x+y=9

Our goal here is to be left with one variable to solve, this way we can use the answer for that variable to find the other. A.K.A only find X to plug into the equation to find Y. To do this, we'll use the process of elimination, in which we need to cancel out a variable.

X seems the easiest here. To cancel 2 (in the top equation), you need to have a -2. And that -2 needs to be the x coefficient in the 2nd equation, in order for us to "cancel" it out. To get -2, you multiply 2 by -1.

-1(2x+y)= -1(9)

Note that whatever you do to one side, you need to do it to both sides! Hence, why I also multiplied 9 by -1. You should now be left with:

-2x -y = -9

Now, we cancel out the positive 2 and -2 from both equations by adding the two equations.

2x-3y= 11

+

-2x-y=-9

X cancels out, so we're left with -4y=-20. Solve for Y, which is 5.

-4y=-20

y=5

Now that you have the Y value, plug it into any of the two equations to find your X value.

2x-3y=11

2x-3(5)=11

2x-15=11

2x=26

x=13

And voilah! Our Y value is 5, and our X value is 13.

It's pretty simple once you understand what's going on. All that we did was to cancel out one variable (either X or Y) in the two equations so that we're left with only one variable to solve. If we cancel out X, we only need to solve for Y. You do this by manipulating one of the two equations (doesn't matter which one). Once you find either X or Y, all you need to is to plug it into one of the original equations. Then, you'll have both X and Y.

And that my friend, is the process of elimination. Good luck!

8 0

2 years ago

Read 2 more answers

The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is n

Akimi4 [234]

Answer:

1/3

is the answer

please mark me as a brainliest

6 0

3 years ago

Read 2 more answers

PLEASE HELP, 50 POINTS<br> QUESTION IS IN THE PICTURE

artcher [175]

Answer:

$-\frac{50}{3}$

Step-by-step explanation:

Find dy/dx of the ellipse $25x^{2} +y^{2}=109$ at (2,3)

Using Implicit Differentiation

Differentiate both sides of the equation with respect to x

$25x^{2} +y^{2}=109$

$50x +2y\frac{dy}{dx}=0$

isolate the term dy/dx

$2y\frac{dy}{dx}=-50x$

$\frac{dy}{dx}=-25\frac{x}{y}$

Evaluate at point (2,3)

For x=2, y=3

$\frac{dy}{dx}=-25(\frac{2}{3})$

$\frac{dy}{dx}=-\frac{50}{3}$

4 0

3 years ago

Read 2 more answers